{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from manim import *\n",
    "\n",
    "config.progress_bar = \"none\"\n",
    "config.media_width = \"100%\"\n",
    "config.media_embed = True\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class AngleScene(Scene):\n",
    "    def construct(self):\n",
    "        v = ValueTracker(PI / 1000)\n",
    "        line1 = Line()\n",
    "        line2 = Line().rotate(v.get_value())\n",
    "        line2_ref = line2.copy()\n",
    "        line2.add_updater(lambda this: this.become(line2_ref.copy().rotate(v.get_value())))\n",
    "        angle = Angle(line1, line2).set_color_by_gradient([WHITE, BLUE])\n",
    "        angle.add_updater(lambda this: this.become(Angle(line1, line2).set_color_by_gradient([WHITE, BLUE])))\n",
    "        self.add(line1, line2, angle)\n",
    "        self.play(v.animate.set_value(PI * 5 / 4), run_time=3, rate_func=rate_functions.ease_out_bounce)\n",
    "        self.wait()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<video controls autoplay loop style=\"max-width: 100%;\"  >\n",
       " <source 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type=\"video/mp4\">\n",
       " Your browser does not support the video tag.\n",
       " </video>"
      ],
      "text/plain": [
       "<IPython.core.display.Video object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%manim -v WARNING -qm AngleScene"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "class AngleWithLabel(Scene):\n",
    "    def construct(self):\n",
    "        v = ValueTracker(PI / 1000)\n",
    "        line1 = Line()\n",
    "        line2 = Line().rotate(v.get_value())\n",
    "        line2_ref = line2.copy()\n",
    "        line2.add_updater(lambda this: this.become(line2_ref.copy().rotate(v.get_value())))\n",
    "        angle = Angle(line1, line2).set_color_by_gradient([WHITE, BLUE])\n",
    "        angle.add_updater(lambda this: this.become(Angle(line1, line2).set_color_by_gradient([WHITE, BLUE])))\n",
    "        label = MathTex(\"\\\\theta\").move_to(Angle(line1, line2, radius=0.5 + 0.3).point_from_proportion(0.5))\n",
    "        label.add_updater(lambda x: x.move_to(Angle(line1, line2, radius=0.5 + 0.3).point_from_proportion(0.5)))\n",
    "        self.add(line1, line2, angle, label)\n",
    "        self.play(v.animate.set_value(PI * 5 / 4), run_time=3, rate_func=rate_functions.ease_out_bounce)\n",
    "        self.wait()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<video controls autoplay loop style=\"max-width: 100%;\"  >\n",
       " <source 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type=\"video/mp4\">\n",
       " Your browser does not support the video tag.\n",
       " </video>"
      ],
      "text/plain": [
       "<IPython.core.display.Video object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%manim -v WARNING -qm AngleWithLabel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "class RightAngleScene(Scene):\n",
    "    def construct(self):\n",
    "        v = ValueTracker(PI / 1000)\n",
    "        line1 = Line()\n",
    "        line2 = Line().rotate(v.get_value())\n",
    "        line2_ref = line2.copy()\n",
    "        line2.add_updater(lambda this: this.become(line2_ref.copy().rotate(v.get_value())))\n",
    "        angle = RightAngle(line1, line2).set_color_by_gradient([WHITE, BLUE])\n",
    "        angle.add_updater(lambda this: this.become(RightAngle(line1, line2).set_color_by_gradient([WHITE, BLUE])))\n",
    "        self.add(line1, line2, angle)\n",
    "        self.play(v.animate.set_value(PI * 3 / 2), run_time=3)\n",
    "        self.wait()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<video controls autoplay loop style=\"max-width: 100%;\"  >\n",
       " <source 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type=\"video/mp4\">\n",
       " Your browser does not support the video tag.\n",
       " </video>"
      ],
      "text/plain": [
       "<IPython.core.display.Video object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%manim -v WARNING -qm RightAngleScene"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "2c0948b606a87f16a1329dbdb4c9bf2c1b73f2116240f6b736465dcfd150b23b"
  },
  "kernelspec": {
   "display_name": "Python 3.8.12 ('manim')",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.12"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
